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Finding the Fourth Proportional to 218,143.38, 301,033.86 and 121,346.76

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Solution

The fourth proportional to 218,143.38, 301,033.86 and 121,346.76 is: 167,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,143.38 : 301,033.86 = 121,346.76 : x
  2. Step 2: Convert to fraction form
    218,143.38/301,033.86 = 121,346.76/x
  3. Step 3: Cross multiply
    218,143.38x = 301,033.86 × 121,346.76
  4. Step 4: Simplify right side
    218,143.38x = 36,529,483,561.29
  5. Step 5: Solve for x
    x = 36,529,483,561.29/218,143.38
  6. Step 6: Final answer
    x = 167,456.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.